• Corpus ID: 252567928

Assouad-type Dimensions of Overlapping Self-affine Sets

  title={Assouad-type Dimensions of Overlapping Self-affine Sets},
  author={Jonathan M. Fraser and Alexandra Rutar},
A BSTRACT . We study the Assouad and quasi-Assoaud dimensions of dominated rectangular self-affine sets in the plane. In contrast to previous work on the dimension theory of self-affine sets, we assume that the sets satisfy certain separation conditions on the projection to the principal axis, but otherwise have arbitrary overlaps in the plane. We introduce and study regularity properties of a certain symbolic non-autonomous iterated function system corresponding to “symbolic slices” of the self… 



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